# A triangle has sides with lengths: 4, 12, and 4. How do you find the area of the triangle using Heron's formula?

Jan 26, 2016

There is no such triangle, since $4 + 4 < 12$

#### Explanation:

In order for lengths $a$, $b$ and $c$ to form a triangle with non-zero area, all of the following must hold:

$a + b > c$

$b + c > a$

$c + a > b$